Measures of Central Tendency and DispersionMCQMTP June 24 Series IIIQuestion 3212 of 473
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If the mean of frequency distribution is 100\displaystyle 100 and coefficient of variation is 45%\displaystyle 45\% then SD is

Options

A45\displaystyle 45
B0.45\displaystyle 0.45
C4.5\displaystyle 4.5
D450\displaystyle 450
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Correct Answer

✅ Option a — 45\displaystyle 45

All Options:

  • A45\displaystyle 45
  • B0.45\displaystyle 0.45
  • C4.5\displaystyle 4.5
  • D450\displaystyle 450

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Detailed Solution & Explanation

**Given:** Mean = 100, CV = 45% **Step 1: Use CV formula.** CV=σxˉ×100CV = \frac{\sigma}{\bar{x}} \times 100 45=σ100×10045 = \frac{\sigma}{100} \times 100 σ=45\sigma = 45 **Result:** SD = **45** Hence, **Option A** is the correct answer.

About This Chapter: Measures of Central Tendency and Dispersion

Paper

Paper 3: Quantitative Aptitude

Weightage

12-15 Marks

Key Topics

Mean, Median, Mode, Range, Mean Deviation, Standard Deviation

The core foundation of Statistics. This chapter covers Mean (Arithmetic, Geometric, Harmonic), Median, Mode, and their properties. It also explores measures of spread like Range, Mean Deviation, Standard Deviation, and Quartile Deviation.

View Official ICAI Syllabus

Exam Strategy Tip

Do not just memorize formulas; ICAI loves asking about the mathematical properties (e.g., 'sum of deviations from the AM is always zero'). You can usually eliminate 2 options just by knowing the properties.

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